Current location - Training Enrollment Network - Mathematics courses - Mathematics in basketball
Mathematics in basketball
If I draw this model: DE=9/20 (the height of people jumping, the height of people is assumed to be FE=h)? Point B is the highest point of the ball, and C is the iron ring OC=3? AO=AB=4 Set the ball at point F? The horizontal speed of the ball is Vt and the vertical speed is Vy? (the horizontal direction is no longer stressed, and the speed is unchanged; There is gravity in the vertical direction, acceleration g= 10), and the above units are all corresponding international units.

Suppose the ball just goes in, push it back.

Starting from the highest point B, because it is the highest penalty, it does not rise any more, Vy=0. From 4m to 3m, vy & sup2 = 2g (4-3); Vy=gt(t is the falling time), the horizontal speed Vt is unchanged, and 4=t*Vt. These three equations solve Vt=4 times the root number 5 (the root number cannot be typed).

From point B to point B, the horizontal distance is 3 meters, and the horizontal speed has been solved, so the time from point B to the highest point can be calculated. And then according to? Vy & ampsup2= 2g(4h-0.45); Vy=gt(Vy and t are different from the first step). According to simultaneous equations, a person's height H is a little more than 3 meters. Yao Ming is the tallest player in basketball now? 2.26 meters, assuming that it is not true, you can't hit it.

The above analysis is only suitable for my painting? If your topic is not this model, it is wrong.